Long Division Problem: Divide 1250 by 2 Using Standard Algorithm

Video Solution

Solution Steps

00:00 Solve

00:03 Let's start by taking the leftmost digit in the dividend

00:08 2 is greater than 1, so we'll add the next digit and then divide

00:11 Write the result without remainder above, pay attention to placement

00:15 Now multiply the result by the divisor

00:18 Subtract the product from the number

00:23 Now bring down the next digit and use the same steps

00:26 Divide

00:31 Write the result above

00:34 Multiply the result, subtract

00:41 Now bring down the next digit and use the same steps

00:45 Divide

00:48 Write the result above

00:52 Multiply the result, subtract

00:55 We got a remainder of 0

00:59 And this is the solution to the problem

Step-by-Step Solution

To solve the division $\frac{1250}{2}$ , follow these steps:

Step 1: Start with the first digit of 1250, which is 1. 2 does not fit into 1, so consider the first two digits, 12.
Step 2: Divide 12 by 2: $12 \div 2 = 6$ . Place 6 in the quotient. Multiply 6 by 2 to get 12, and subtract this from 12, resulting in 0.
Step 3: Bring down the next digit, which is 5. Now, divide 5 by 2: $5 \div 2 = 2$ (since 2 goes into 5 two times). Multiply 2 by 2 to get 4, subtract from 5, leaving 1.
Step 4: Bring down the final digit, 0. Divide 10 by 2: $10 \div 2 = 5$ . Multiply 5 by 2 to get 10, leaving a remainder of 0.

So, the quotient of $\frac{1250}{2}$ is $625$ .

Therefore, the solution to the problem is $625$ .